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Finding the Fourth Proportional to 138,264.12, 190,823.04 and 77,846.76

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Solution

The fourth proportional to 138,264.12, 190,823.04 and 77,846.76 is: 107,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,264.12 : 190,823.04 = 77,846.76 : x
  2. Step 2: Convert to fraction form
    138,264.12/190,823.04 = 77,846.76/x
  3. Step 3: Cross multiply
    138,264.12x = 190,823.04 × 77,846.76
  4. Step 4: Simplify right side
    138,264.12x = 14,854,955,397.35
  5. Step 5: Solve for x
    x = 14,854,955,397.35/138,264.12
  6. Step 6: Final answer
    x = 107,438.98

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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.