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Finding the Fourth Proportional to 153,143.76, 229,715.64 and 47,970.96

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Solution

The fourth proportional to 153,143.76, 229,715.64 and 47,970.96 is: 71,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,143.76 : 229,715.64 = 47,970.96 : x
  2. Step 2: Convert to fraction form
    153,143.76/229,715.64 = 47,970.96/x
  3. Step 3: Cross multiply
    153,143.76x = 229,715.64 × 47,970.96
  4. Step 4: Simplify right side
    153,143.76x = 11,019,679,777.81
  5. Step 5: Solve for x
    x = 11,019,679,777.81/153,143.76
  6. Step 6: Final answer
    x = 71,956.44

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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.