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Finding the Fourth Proportional to 85,851.30, 128,412.45 and 77,030.40

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Solution

The fourth proportional to 85,851.30, 128,412.45 and 77,030.40 is: 115,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851.30 : 128,412.45 = 77,030.40 : x
  2. Step 2: Convert to fraction form
    85,851.30/128,412.45 = 77,030.40/x
  3. Step 3: Cross multiply
    85,851.30x = 128,412.45 × 77,030.40
  4. Step 4: Simplify right side
    85,851.30x = 9,891,662,388.48
  5. Step 5: Solve for x
    x = 9,891,662,388.48/85,851.30
  6. Step 6: Final answer
    x = 115,218.55

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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.