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Finding the Fourth Proportional to 213,062.04, 319,715.17 and 86,678.96

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Solution

The fourth proportional to 213,062.04, 319,715.17 and 86,678.96 is: 130,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,062.04 : 319,715.17 = 86,678.96 : x
  2. Step 2: Convert to fraction form
    213,062.04/319,715.17 = 86,678.96/x
  3. Step 3: Cross multiply
    213,062.04x = 319,715.17 × 86,678.96
  4. Step 4: Simplify right side
    213,062.04x = 27,712,576,833.25
  5. Step 5: Solve for x
    x = 27,712,576,833.25/213,062.04
  6. Step 6: Final answer
    x = 130,068.11

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1.5x scale

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.