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Finding the Fourth Proportional to 142,038.65, 212,908.19 and 47,243.52

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Solution

The fourth proportional to 142,038.65, 212,908.19 and 47,243.52 is: 70,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,038.65 : 212,908.19 = 47,243.52 : x
  2. Step 2: Convert to fraction form
    142,038.65/212,908.19 = 47,243.52/x
  3. Step 3: Cross multiply
    142,038.65x = 212,908.19 × 47,243.52
  4. Step 4: Simplify right side
    142,038.65x = 10,058,532,096.21
  5. Step 5: Solve for x
    x = 10,058,532,096.21/142,038.65
  6. Step 6: Final answer
    x = 70,815.46

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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.