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Finding the Fourth Proportional to 438,142, 657,213.06 and 105,718

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Solution

The fourth proportional to 438,142, 657,213.06 and 105,718 is: 158,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,142 : 657,213.06 = 105,718 : x
  2. Step 2: Convert to fraction form
    438,142/657,213.06 = 105,718/x
  3. Step 3: Cross multiply
    438,142x = 657,213.06 × 105,718
  4. Step 4: Simplify right side
    438,142x = 69,479,250,277.08
  5. Step 5: Solve for x
    x = 69,479,250,277.08/438,142
  6. Step 6: Final answer
    x = 158,577.01

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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.