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Finding the Fourth Proportional to 153,691, 212,268.54 and 103,302.52

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Solution

The fourth proportional to 153,691, 212,268.54 and 103,302.52 is: 142,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,691 : 212,268.54 = 103,302.52 : x
  2. Step 2: Convert to fraction form
    153,691/212,268.54 = 103,302.52/x
  3. Step 3: Cross multiply
    153,691x = 212,268.54 × 103,302.52
  4. Step 4: Simplify right side
    153,691x = 21,927,875,098.72
  5. Step 5: Solve for x
    x = 21,927,875,098.72/153,691
  6. Step 6: Final answer
    x = 142,675.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.