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Finding the Fourth Proportional to 152,053.80, 209,862.72 and 88,400.76

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Solution

The fourth proportional to 152,053.80, 209,862.72 and 88,400.76 is: 122,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,053.80 : 209,862.72 = 88,400.76 : x
  2. Step 2: Convert to fraction form
    152,053.80/209,862.72 = 88,400.76/x
  3. Step 3: Cross multiply
    152,053.80x = 209,862.72 × 88,400.76
  4. Step 4: Simplify right side
    152,053.80x = 18,552,023,943.67
  5. Step 5: Solve for x
    x = 18,552,023,943.67/152,053.80
  6. Step 6: Final answer
    x = 122,009.60

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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.