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Finding the Fourth Proportional to 139,461.52, 209,203.08 and 83,681.68

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Solution

The fourth proportional to 139,461.52, 209,203.08 and 83,681.68 is: 125,529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,461.52 : 209,203.08 = 83,681.68 : x
  2. Step 2: Convert to fraction form
    139,461.52/209,203.08 = 83,681.68/x
  3. Step 3: Cross multiply
    139,461.52x = 209,203.08 × 83,681.68
  4. Step 4: Simplify right side
    139,461.52x = 17,506,465,195.57
  5. Step 5: Solve for x
    x = 17,506,465,195.57/139,461.52
  6. Step 6: Final answer
    x = 125,529.00

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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.