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Finding the Fourth Proportional to 142,345, 213,554.64 and 42,505.20

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Solution

The fourth proportional to 142,345, 213,554.64 and 42,505.20 is: 63,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,345 : 213,554.64 = 42,505.20 : x
  2. Step 2: Convert to fraction form
    142,345/213,554.64 = 42,505.20/x
  3. Step 3: Cross multiply
    142,345x = 213,554.64 × 42,505.20
  4. Step 4: Simplify right side
    142,345x = 9,077,182,684.13
  5. Step 5: Solve for x
    x = 9,077,182,684.13/142,345
  6. Step 6: Final answer
    x = 63,768.89

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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.