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Finding the Fourth Proportional to 253,017.16, 349,164.74 and 138,298.12

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Solution

The fourth proportional to 253,017.16, 349,164.74 and 138,298.12 is: 190,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,017.16 : 349,164.74 = 138,298.12 : x
  2. Step 2: Convert to fraction form
    253,017.16/349,164.74 = 138,298.12/x
  3. Step 3: Cross multiply
    253,017.16x = 349,164.74 × 138,298.12
  4. Step 4: Simplify right side
    253,017.16x = 48,288,827,112.29
  5. Step 5: Solve for x
    x = 48,288,827,112.29/253,017.16
  6. Step 6: Final answer
    x = 190,851.98

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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.