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Finding the Fourth Proportional to 211,312.23, 316,851.70 and 86,740.71

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Solution

The fourth proportional to 211,312.23, 316,851.70 and 86,740.71 is: 130,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312.23 : 316,851.70 = 86,740.71 : x
  2. Step 2: Convert to fraction form
    211,312.23/316,851.70 = 86,740.71/x
  3. Step 3: Cross multiply
    211,312.23x = 316,851.70 × 86,740.71
  4. Step 4: Simplify right side
    211,312.23x = 27,483,941,422.71
  5. Step 5: Solve for x
    x = 27,483,941,422.71/211,312.23
  6. Step 6: Final answer
    x = 130,063.18

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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.