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Finding the Fourth Proportional to 76,398.68, 105,428.12 and 42,407.06

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Solution

The fourth proportional to 76,398.68, 105,428.12 and 42,407.06 is: 58,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398.68 : 105,428.12 = 42,407.06 : x
  2. Step 2: Convert to fraction form
    76,398.68/105,428.12 = 42,407.06/x
  3. Step 3: Cross multiply
    76,398.68x = 105,428.12 × 42,407.06
  4. Step 4: Simplify right side
    76,398.68x = 4,470,896,610.53
  5. Step 5: Solve for x
    x = 4,470,896,610.53/76,398.68
  6. Step 6: Final answer
    x = 58,520.60

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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.