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Finding the Fourth Proportional to 76,122.48, 114,153.96 and 38,666.16

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Solution

The fourth proportional to 76,122.48, 114,153.96 and 38,666.16 is: 57,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122.48 : 114,153.96 = 38,666.16 : x
  2. Step 2: Convert to fraction form
    76,122.48/114,153.96 = 38,666.16/x
  3. Step 3: Cross multiply
    76,122.48x = 114,153.96 × 38,666.16
  4. Step 4: Simplify right side
    76,122.48x = 4,413,895,281.99
  5. Step 5: Solve for x
    x = 4,413,895,281.99/76,122.48
  6. Step 6: Final answer
    x = 57,984.12

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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.