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Finding the Fourth Proportional to 76,156.40, 105,097.92 and 42,622.40

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Solution

The fourth proportional to 76,156.40, 105,097.92 and 42,622.40 is: 58,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,156.40 : 105,097.92 = 42,622.40 : x
  2. Step 2: Convert to fraction form
    76,156.40/105,097.92 = 42,622.40/x
  3. Step 3: Cross multiply
    76,156.40x = 105,097.92 × 42,622.40
  4. Step 4: Simplify right side
    76,156.40x = 4,479,525,585.41
  5. Step 5: Solve for x
    x = 4,479,525,585.41/76,156.40
  6. Step 6: Final answer
    x = 58,820.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.