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Finding the Fourth Proportional to 153,700, 212,280.96 and 103,311.52

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Solution

The fourth proportional to 153,700, 212,280.96 and 103,311.52 is: 142,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,700 : 212,280.96 = 103,311.52 : x
  2. Step 2: Convert to fraction form
    153,700/212,280.96 = 103,311.52/x
  3. Step 3: Cross multiply
    153,700x = 212,280.96 × 103,311.52
  4. Step 4: Simplify right side
    153,700x = 21,931,068,644.66
  5. Step 5: Solve for x
    x = 21,931,068,644.66/153,700
  6. Step 6: Final answer
    x = 142,687.50

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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.