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Finding the Fourth Proportional to 252,295, 378,442.50 and 102,616.72

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Solution

The fourth proportional to 252,295, 378,442.50 and 102,616.72 is: 153,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,295 : 378,442.50 = 102,616.72 : x
  2. Step 2: Convert to fraction form
    252,295/378,442.50 = 102,616.72/x
  3. Step 3: Cross multiply
    252,295x = 378,442.50 × 102,616.72
  4. Step 4: Simplify right side
    252,295x = 38,834,528,058.60
  5. Step 5: Solve for x
    x = 38,834,528,058.60/252,295
  6. Step 6: Final answer
    x = 153,925.08

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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.