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Finding the Fourth Proportional to 180,445.66, 249,011.99 and 99,871.47

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Solution

The fourth proportional to 180,445.66, 249,011.99 and 99,871.47 is: 137,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,445.66 : 249,011.99 = 99,871.47 : x
  2. Step 2: Convert to fraction form
    180,445.66/249,011.99 = 99,871.47/x
  3. Step 3: Cross multiply
    180,445.66x = 249,011.99 × 99,871.47
  4. Step 4: Simplify right side
    180,445.66x = 24,869,193,488.93
  5. Step 5: Solve for x
    x = 24,869,193,488.93/180,445.66
  6. Step 6: Final answer
    x = 137,820.96

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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.