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Finding the Fourth Proportional to 142,038, 212,944.68 and 70,924.08

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Solution

The fourth proportional to 142,038, 212,944.68 and 70,924.08 is: 106,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,038 : 212,944.68 = 70,924.08 : x
  2. Step 2: Convert to fraction form
    142,038/212,944.68 = 70,924.08/x
  3. Step 3: Cross multiply
    142,038x = 212,944.68 × 70,924.08
  4. Step 4: Simplify right side
    142,038x = 15,102,905,519.89
  5. Step 5: Solve for x
    x = 15,102,905,519.89/142,038
  6. Step 6: Final answer
    x = 106,330.04

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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.