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Finding the Fourth Proportional to 109,159.61, 150,640.02 and 61,413

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Solution

The fourth proportional to 109,159.61, 150,640.02 and 61,413 is: 84,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,159.61 : 150,640.02 = 61,413 : x
  2. Step 2: Convert to fraction form
    109,159.61/150,640.02 = 61,413/x
  3. Step 3: Cross multiply
    109,159.61x = 150,640.02 × 61,413
  4. Step 4: Simplify right side
    109,159.61x = 9,251,255,548.26
  5. Step 5: Solve for x
    x = 9,251,255,548.26/109,159.61
  6. Step 6: Final answer
    x = 84,749.81

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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.