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Finding the Fourth Proportional to 152,887.92, 210,987.40 and 84,909.28

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Solution

The fourth proportional to 152,887.92, 210,987.40 and 84,909.28 is: 117,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,887.92 : 210,987.40 = 84,909.28 : x
  2. Step 2: Convert to fraction form
    152,887.92/210,987.40 = 84,909.28/x
  3. Step 3: Cross multiply
    152,887.92x = 210,987.40 × 84,909.28
  4. Step 4: Simplify right side
    152,887.92x = 17,914,788,223.07
  5. Step 5: Solve for x
    x = 17,914,788,223.07/152,887.92
  6. Step 6: Final answer
    x = 117,175.96

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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.