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Finding the Fourth Proportional to 42,109,871.40, 63,164,807.10 and 42,109,871.40

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Solution

The fourth proportional to 42,109,871.40, 63,164,807.10 and 42,109,871.40 is: 63,164,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,109,871.40 : 63,164,807.10 = 42,109,871.40 : x
  2. Step 2: Convert to fraction form
    42,109,871.40/63,164,807.10 = 42,109,871.40/x
  3. Step 3: Cross multiply
    42,109,871.40x = 63,164,807.10 × 42,109,871.40
  4. Step 4: Simplify right side
    42,109,871.40x = 2,659,861,903,986,807
  5. Step 5: Solve for x
    x = 2,659,861,903,986,807/42,109,871.40
  6. Step 6: Final answer
    x = 63,164,807.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.