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Finding the Fourth Proportional to 211,031.80, 316,547.70 and 70,756.60

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Solution

The fourth proportional to 211,031.80, 316,547.70 and 70,756.60 is: 106,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,031.80 : 316,547.70 = 70,756.60 : x
  2. Step 2: Convert to fraction form
    211,031.80/316,547.70 = 70,756.60/x
  3. Step 3: Cross multiply
    211,031.80x = 316,547.70 × 70,756.60
  4. Step 4: Simplify right side
    211,031.80x = 22,397,838,989.82
  5. Step 5: Solve for x
    x = 22,397,838,989.82/211,031.80
  6. Step 6: Final answer
    x = 106,134.90

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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.