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Finding the Fourth Proportional to 85,254.80, 117,564.53 and 56,564.40

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Solution

The fourth proportional to 85,254.80, 117,564.53 and 56,564.40 is: 78,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,254.80 : 117,564.53 = 56,564.40 : x
  2. Step 2: Convert to fraction form
    85,254.80/117,564.53 = 56,564.40/x
  3. Step 3: Cross multiply
    85,254.80x = 117,564.53 × 56,564.40
  4. Step 4: Simplify right side
    85,254.80x = 6,649,966,377.04
  5. Step 5: Solve for x
    x = 6,649,966,377.04/85,254.80
  6. Step 6: Final answer
    x = 78,001.08

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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.