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Finding the Fourth Proportional to 342,547.91, 513,871.10 and 105,909.05

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Solution

The fourth proportional to 342,547.91, 513,871.10 and 105,909.05 is: 158,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,547.91 : 513,871.10 = 105,909.05 : x
  2. Step 2: Convert to fraction form
    342,547.91/513,871.10 = 105,909.05/x
  3. Step 3: Cross multiply
    342,547.91x = 513,871.10 × 105,909.05
  4. Step 4: Simplify right side
    342,547.91x = 54,423,598,880.96
  5. Step 5: Solve for x
    x = 54,423,598,880.96/342,547.91
  6. Step 6: Final answer
    x = 158,878.79

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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.