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Finding the Fourth Proportional to 138,713.60, 208,070.40 and 122,643.20

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Solution

The fourth proportional to 138,713.60, 208,070.40 and 122,643.20 is: 183,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,713.60 : 208,070.40 = 122,643.20 : x
  2. Step 2: Convert to fraction form
    138,713.60/208,070.40 = 122,643.20/x
  3. Step 3: Cross multiply
    138,713.60x = 208,070.40 × 122,643.20
  4. Step 4: Simplify right side
    138,713.60x = 25,518,419,681.28
  5. Step 5: Solve for x
    x = 25,518,419,681.28/138,713.60
  6. Step 6: Final answer
    x = 183,964.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.