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Finding the Fourth Proportional to 76,573.92, 105,724.08 and 56,433.12

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Solution

The fourth proportional to 76,573.92, 105,724.08 and 56,433.12 is: 77,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,573.92 : 105,724.08 = 56,433.12 : x
  2. Step 2: Convert to fraction form
    76,573.92/105,724.08 = 56,433.12/x
  3. Step 3: Cross multiply
    76,573.92x = 105,724.08 × 56,433.12
  4. Step 4: Simplify right side
    76,573.92x = 5,966,339,693.53
  5. Step 5: Solve for x
    x = 5,966,339,693.53/76,573.92
  6. Step 6: Final answer
    x = 77,916.08

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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.