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Finding the Fourth Proportional to 180,483.36, 249,064.04 and 99,909.20

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Solution

The fourth proportional to 180,483.36, 249,064.04 and 99,909.20 is: 137,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,483.36 : 249,064.04 = 99,909.20 : x
  2. Step 2: Convert to fraction form
    180,483.36/249,064.04 = 99,909.20/x
  3. Step 3: Cross multiply
    180,483.36x = 249,064.04 × 99,909.20
  4. Step 4: Simplify right side
    180,483.36x = 24,883,788,985.17
  5. Step 5: Solve for x
    x = 24,883,788,985.17/180,483.36
  6. Step 6: Final answer
    x = 137,873.04

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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.