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Finding the Fourth Proportional to 251,291.32, 346,784.70 and 138,117.40

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Solution

The fourth proportional to 251,291.32, 346,784.70 and 138,117.40 is: 190,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,291.32 : 346,784.70 = 138,117.40 : x
  2. Step 2: Convert to fraction form
    251,291.32/346,784.70 = 138,117.40/x
  3. Step 3: Cross multiply
    251,291.32x = 346,784.70 × 138,117.40
  4. Step 4: Simplify right side
    251,291.32x = 47,897,001,123.78
  5. Step 5: Solve for x
    x = 47,897,001,123.78/251,291.32
  6. Step 6: Final answer
    x = 190,603.48

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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.