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Finding the Fourth Proportional to 142,422.93, 213,655.65 and 52,458.79

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Solution

The fourth proportional to 142,422.93, 213,655.65 and 52,458.79 is: 78,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,422.93 : 213,655.65 = 52,458.79 : x
  2. Step 2: Convert to fraction form
    142,422.93/213,655.65 = 52,458.79/x
  3. Step 3: Cross multiply
    142,422.93x = 213,655.65 × 52,458.79
  4. Step 4: Simplify right side
    142,422.93x = 11,208,116,875.66
  5. Step 5: Solve for x
    x = 11,208,116,875.66/142,422.93
  6. Step 6: Final answer
    x = 78,696.01

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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.