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Finding the Fourth Proportional to 218,165.34, 300,920.16 and 141,547.55

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Solution

The fourth proportional to 218,165.34, 300,920.16 and 141,547.55 is: 195,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,165.34 : 300,920.16 = 141,547.55 : x
  2. Step 2: Convert to fraction form
    218,165.34/300,920.16 = 141,547.55/x
  3. Step 3: Cross multiply
    218,165.34x = 300,920.16 × 141,547.55
  4. Step 4: Simplify right side
    218,165.34x = 42,594,511,393.61
  5. Step 5: Solve for x
    x = 42,594,511,393.61/218,165.34
  6. Step 6: Final answer
    x = 195,239.59

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1.5x scale

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.