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Finding the Fourth Proportional to 76,901.60, 106,124.47 and 42,909.47

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Solution

The fourth proportional to 76,901.60, 106,124.47 and 42,909.47 is: 59,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,901.60 : 106,124.47 = 42,909.47 : x
  2. Step 2: Convert to fraction form
    76,901.60/106,124.47 = 42,909.47/x
  3. Step 3: Cross multiply
    76,901.60x = 106,124.47 × 42,909.47
  4. Step 4: Simplify right side
    76,901.60x = 4,553,744,242.36
  5. Step 5: Solve for x
    x = 4,553,744,242.36/76,901.60
  6. Step 6: Final answer
    x = 59,215.21

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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.