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Finding the Fourth Proportional to 152,084.16, 209,889.12 and 88,417.92

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Solution

The fourth proportional to 152,084.16, 209,889.12 and 88,417.92 is: 122,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,084.16 : 209,889.12 = 88,417.92 : x
  2. Step 2: Convert to fraction form
    152,084.16/209,889.12 = 88,417.92/x
  3. Step 3: Cross multiply
    152,084.16x = 209,889.12 × 88,417.92
  4. Step 4: Simplify right side
    152,084.16x = 18,557,959,421.03
  5. Step 5: Solve for x
    x = 18,557,959,421.03/152,084.16
  6. Step 6: Final answer
    x = 122,024.28

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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.