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Finding the Fourth Proportional to 180,901, 249,646.50 and 100,332.04

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Solution

The fourth proportional to 180,901, 249,646.50 and 100,332.04 is: 138,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,901 : 249,646.50 = 100,332.04 : x
  2. Step 2: Convert to fraction form
    180,901/249,646.50 = 100,332.04/x
  3. Step 3: Cross multiply
    180,901x = 249,646.50 × 100,332.04
  4. Step 4: Simplify right side
    180,901x = 25,047,542,623.86
  5. Step 5: Solve for x
    x = 25,047,542,623.86/180,901
  6. Step 6: Final answer
    x = 138,459.95

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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.