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Finding the Fourth Proportional to 152,705.92, 210,733.44 and 85,637.92

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Solution

The fourth proportional to 152,705.92, 210,733.44 and 85,637.92 is: 118,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,705.92 : 210,733.44 = 85,637.92 : x
  2. Step 2: Convert to fraction form
    152,705.92/210,733.44 = 85,637.92/x
  3. Step 3: Cross multiply
    152,705.92x = 210,733.44 × 85,637.92
  4. Step 4: Simplify right side
    152,705.92x = 18,046,773,476.04
  5. Step 5: Solve for x
    x = 18,046,773,476.04/152,705.92
  6. Step 6: Final answer
    x = 118,179.92

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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.