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Finding the Fourth Proportional to 166,525, 249,869.51 and 77,765.60

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Solution

The fourth proportional to 166,525, 249,869.51 and 77,765.60 is: 116,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,525 : 249,869.51 = 77,765.60 : x
  2. Step 2: Convert to fraction form
    166,525/249,869.51 = 77,765.60/x
  3. Step 3: Cross multiply
    166,525x = 249,869.51 × 77,765.60
  4. Step 4: Simplify right side
    166,525x = 19,431,252,366.86
  5. Step 5: Solve for x
    x = 19,431,252,366.86/166,525
  6. Step 6: Final answer
    x = 116,686.70

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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.