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Finding the Fourth Proportional to 133,038.90, 199,623.15 and 101,438.10

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Solution

The fourth proportional to 133,038.90, 199,623.15 and 101,438.10 is: 152,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038.90 : 199,623.15 = 101,438.10 : x
  2. Step 2: Convert to fraction form
    133,038.90/199,623.15 = 101,438.10/x
  3. Step 3: Cross multiply
    133,038.90x = 199,623.15 × 101,438.10
  4. Step 4: Simplify right side
    133,038.90x = 20,249,393,052.02
  5. Step 5: Solve for x
    x = 20,249,393,052.02/133,038.90
  6. Step 6: Final answer
    x = 152,206.56

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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.