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Finding the Fourth Proportional to 180,530.93, 249,146.71 and 99,965.95

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Solution

The fourth proportional to 180,530.93, 249,146.71 and 99,965.95 is: 137,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,530.93 : 249,146.71 = 99,965.95 : x
  2. Step 2: Convert to fraction form
    180,530.93/249,146.71 = 99,965.95/x
  3. Step 3: Cross multiply
    180,530.93x = 249,146.71 × 99,965.95
  4. Step 4: Simplify right side
    180,530.93x = 24,906,187,554.52
  5. Step 5: Solve for x
    x = 24,906,187,554.52/180,530.93
  6. Step 6: Final answer
    x = 137,960.78

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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.