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Finding the Fourth Proportional to 102,567.80, 153,851.70 and 85,287.80

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Solution

The fourth proportional to 102,567.80, 153,851.70 and 85,287.80 is: 127,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,567.80 : 153,851.70 = 85,287.80 : x
  2. Step 2: Convert to fraction form
    102,567.80/153,851.70 = 85,287.80/x
  3. Step 3: Cross multiply
    102,567.80x = 153,851.70 × 85,287.80
  4. Step 4: Simplify right side
    102,567.80x = 13,121,673,019.26
  5. Step 5: Solve for x
    x = 13,121,673,019.26/102,567.80
  6. Step 6: Final answer
    x = 127,931.70

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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.