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Finding the Fourth Proportional to 216,897, 299,275.32 and 136,277.82

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Solution

The fourth proportional to 216,897, 299,275.32 and 136,277.82 is: 188,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,897 : 299,275.32 = 136,277.82 : x
  2. Step 2: Convert to fraction form
    216,897/299,275.32 = 136,277.82/x
  3. Step 3: Cross multiply
    216,897x = 299,275.32 × 136,277.82
  4. Step 4: Simplify right side
    216,897x = 40,784,588,189.40
  5. Step 5: Solve for x
    x = 40,784,588,189.40/216,897
  6. Step 6: Final answer
    x = 188,036.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.