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Finding the Fourth Proportional to 101,432.48, 152,165.10 and 42,274.10

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Solution

The fourth proportional to 101,432.48, 152,165.10 and 42,274.10 is: 63,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432.48 : 152,165.10 = 42,274.10 : x
  2. Step 2: Convert to fraction form
    101,432.48/152,165.10 = 42,274.10/x
  3. Step 3: Cross multiply
    101,432.48x = 152,165.10 × 42,274.10
  4. Step 4: Simplify right side
    101,432.48x = 6,432,642,653.91
  5. Step 5: Solve for x
    x = 6,432,642,653.91/101,432.48
  6. Step 6: Final answer
    x = 63,417.98

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1.5x scale

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.