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Finding the Fourth Proportional to 142,053.93, 212,931.11 and 47,258.80

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Solution

The fourth proportional to 142,053.93, 212,931.11 and 47,258.80 is: 70,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,053.93 : 212,931.11 = 47,258.80 : x
  2. Step 2: Convert to fraction form
    142,053.93/212,931.11 = 47,258.80/x
  3. Step 3: Cross multiply
    142,053.93x = 212,931.11 × 47,258.80
  4. Step 4: Simplify right side
    142,053.93x = 10,062,868,149.87
  5. Step 5: Solve for x
    x = 10,062,868,149.87/142,053.93
  6. Step 6: Final answer
    x = 70,838.36

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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.