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Finding the Fourth Proportional to 102,063.38, 140,854.75 and 56,741.45

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Solution

The fourth proportional to 102,063.38, 140,854.75 and 56,741.45 is: 78,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,063.38 : 140,854.75 = 56,741.45 : x
  2. Step 2: Convert to fraction form
    102,063.38/140,854.75 = 56,741.45/x
  3. Step 3: Cross multiply
    102,063.38x = 140,854.75 × 56,741.45
  4. Step 4: Simplify right side
    102,063.38x = 7,992,301,908.26
  5. Step 5: Solve for x
    x = 7,992,301,908.26/102,063.38
  6. Step 6: Final answer
    x = 78,307.25

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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.