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Finding the Fourth Proportional to 153,967.96, 212,360.70 and 103,657.24

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Solution

The fourth proportional to 153,967.96, 212,360.70 and 103,657.24 is: 142,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,967.96 : 212,360.70 = 103,657.24 : x
  2. Step 2: Convert to fraction form
    153,967.96/212,360.70 = 103,657.24/x
  3. Step 3: Cross multiply
    153,967.96x = 212,360.70 × 103,657.24
  4. Step 4: Simplify right side
    153,967.96x = 22,012,724,046.47
  5. Step 5: Solve for x
    x = 22,012,724,046.47/153,967.96
  6. Step 6: Final answer
    x = 142,969.51

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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.