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Finding the Fourth Proportional to 76,424.31, 105,468.84 and 42,432.81

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Solution

The fourth proportional to 76,424.31, 105,468.84 and 42,432.81 is: 58,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,424.31 : 105,468.84 = 42,432.81 : x
  2. Step 2: Convert to fraction form
    76,424.31/105,468.84 = 42,432.81/x
  3. Step 3: Cross multiply
    76,424.31x = 105,468.84 × 42,432.81
  4. Step 4: Simplify right side
    76,424.31x = 4,475,338,853.13
  5. Step 5: Solve for x
    x = 4,475,338,853.13/76,424.31
  6. Step 6: Final answer
    x = 58,559.10

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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.