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Finding the Fourth Proportional to 77,133.32, 115,670.78 and 42,053.88

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Solution

The fourth proportional to 77,133.32, 115,670.78 and 42,053.88 is: 63,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,133.32 : 115,670.78 = 42,053.88 : x
  2. Step 2: Convert to fraction form
    77,133.32/115,670.78 = 42,053.88/x
  3. Step 3: Cross multiply
    77,133.32x = 115,670.78 × 42,053.88
  4. Step 4: Simplify right side
    77,133.32x = 4,864,405,101.63
  5. Step 5: Solve for x
    x = 4,864,405,101.63/77,133.32
  6. Step 6: Final answer
    x = 63,064.90

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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.