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Finding the Fourth Proportional to 152,139.64, 209,882.01 and 98,442.01

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Solution

The fourth proportional to 152,139.64, 209,882.01 and 98,442.01 is: 135,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,139.64 : 209,882.01 = 98,442.01 : x
  2. Step 2: Convert to fraction form
    152,139.64/209,882.01 = 98,442.01/x
  3. Step 3: Cross multiply
    152,139.64x = 209,882.01 × 98,442.01
  4. Step 4: Simplify right side
    152,139.64x = 20,661,206,927.24
  5. Step 5: Solve for x
    x = 20,661,206,927.24/152,139.64
  6. Step 6: Final answer
    x = 135,804.23

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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.