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Finding the Fourth Proportional to 142,038.71, 212,908.28 and 47,243.58

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Solution

The fourth proportional to 142,038.71, 212,908.28 and 47,243.58 is: 70,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,038.71 : 212,908.28 = 47,243.58 : x
  2. Step 2: Convert to fraction form
    142,038.71/212,908.28 = 47,243.58/x
  3. Step 3: Cross multiply
    142,038.71x = 212,908.28 × 47,243.58
  4. Step 4: Simplify right side
    142,038.71x = 10,058,549,358.84
  5. Step 5: Solve for x
    x = 10,058,549,358.84/142,038.71
  6. Step 6: Final answer
    x = 70,815.55

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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.