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Finding the Fourth Proportional to 153,688, 230,443.44 and 60,142.72

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Solution

The fourth proportional to 153,688, 230,443.44 and 60,142.72 is: 90,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,688 : 230,443.44 = 60,142.72 : x
  2. Step 2: Convert to fraction form
    153,688/230,443.44 = 60,142.72/x
  3. Step 3: Cross multiply
    153,688x = 230,443.44 × 60,142.72
  4. Step 4: Simplify right side
    153,688x = 13,859,495,287.76
  5. Step 5: Solve for x
    x = 13,859,495,287.76/153,688
  6. Step 6: Final answer
    x = 90,179.42

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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.