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Finding the Fourth Proportional to 210,948.16, 316,423.50 and 86,289.16

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Solution

The fourth proportional to 210,948.16, 316,423.50 and 86,289.16 is: 129,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,948.16 : 316,423.50 = 86,289.16 : x
  2. Step 2: Convert to fraction form
    210,948.16/316,423.50 = 86,289.16/x
  3. Step 3: Cross multiply
    210,948.16x = 316,423.50 × 86,289.16
  4. Step 4: Simplify right side
    210,948.16x = 27,303,918,019.26
  5. Step 5: Solve for x
    x = 27,303,918,019.26/210,948.16
  6. Step 6: Final answer
    x = 129,434.26

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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.