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Finding the Fourth Proportional to 107,653, 161,432.38 and 54,312.16

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Solution

The fourth proportional to 107,653, 161,432.38 and 54,312.16 is: 81,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,653 : 161,432.38 = 54,312.16 : x
  2. Step 2: Convert to fraction form
    107,653/161,432.38 = 54,312.16/x
  3. Step 3: Cross multiply
    107,653x = 161,432.38 × 54,312.16
  4. Step 4: Simplify right side
    107,653x = 8,767,741,251.74
  5. Step 5: Solve for x
    x = 8,767,741,251.74/107,653
  6. Step 6: Final answer
    x = 81,444.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.