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Finding the Fourth Proportional to 153,769, 230,668.62 and 42,961

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Solution

The fourth proportional to 153,769, 230,668.62 and 42,961 is: 64,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,769 : 230,668.62 = 42,961 : x
  2. Step 2: Convert to fraction form
    153,769/230,668.62 = 42,961/x
  3. Step 3: Cross multiply
    153,769x = 230,668.62 × 42,961
  4. Step 4: Simplify right side
    153,769x = 9,909,754,583.82
  5. Step 5: Solve for x
    x = 9,909,754,583.82/153,769
  6. Step 6: Final answer
    x = 64,445.72

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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.