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Finding the Fourth Proportional to 166,570, 249,881.20 and 71,827.12

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Solution

The fourth proportional to 166,570, 249,881.20 and 71,827.12 is: 107,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,570 : 249,881.20 = 71,827.12 : x
  2. Step 2: Convert to fraction form
    166,570/249,881.20 = 71,827.12/x
  3. Step 3: Cross multiply
    166,570x = 249,881.20 × 71,827.12
  4. Step 4: Simplify right side
    166,570x = 17,948,246,938.14
  5. Step 5: Solve for x
    x = 17,948,246,938.14/166,570
  6. Step 6: Final answer
    x = 107,751.98

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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.