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Finding the Fourth Proportional to 102,122.79, 153,090.81 and 42,962.64

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Solution

The fourth proportional to 102,122.79, 153,090.81 and 42,962.64 is: 64,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122.79 : 153,090.81 = 42,962.64 : x
  2. Step 2: Convert to fraction form
    102,122.79/153,090.81 = 42,962.64/x
  3. Step 3: Cross multiply
    102,122.79x = 153,090.81 × 42,962.64
  4. Step 4: Simplify right side
    102,122.79x = 6,577,185,357.34
  5. Step 5: Solve for x
    x = 6,577,185,357.34/102,122.79
  6. Step 6: Final answer
    x = 64,404.68

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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.