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Finding the Fourth Proportional to 76,471.60, 105,547.68 and 42,491.76

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Solution

The fourth proportional to 76,471.60, 105,547.68 and 42,491.76 is: 58,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.60 : 105,547.68 = 42,491.76 : x
  2. Step 2: Convert to fraction form
    76,471.60/105,547.68 = 42,491.76/x
  3. Step 3: Cross multiply
    76,471.60x = 105,547.68 × 42,491.76
  4. Step 4: Simplify right side
    76,471.60x = 4,484,906,687.12
  5. Step 5: Solve for x
    x = 4,484,906,687.12/76,471.60
  6. Step 6: Final answer
    x = 58,648.00

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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.