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Finding the Fourth Proportional to 153,881.42, 212,452.37 and 99,462.08

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Solution

The fourth proportional to 153,881.42, 212,452.37 and 99,462.08 is: 137,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,881.42 : 212,452.37 = 99,462.08 : x
  2. Step 2: Convert to fraction form
    153,881.42/212,452.37 = 99,462.08/x
  3. Step 3: Cross multiply
    153,881.42x = 212,452.37 × 99,462.08
  4. Step 4: Simplify right side
    153,881.42x = 21,130,953,061.56
  5. Step 5: Solve for x
    x = 21,130,953,061.56/153,881.42
  6. Step 6: Final answer
    x = 137,319.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.