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Finding the Fourth Proportional to 213,020, 319,535.76 and 65,276

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Solution

The fourth proportional to 213,020, 319,535.76 and 65,276 is: 97,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,020 : 319,535.76 = 65,276 : x
  2. Step 2: Convert to fraction form
    213,020/319,535.76 = 65,276/x
  3. Step 3: Cross multiply
    213,020x = 319,535.76 × 65,276
  4. Step 4: Simplify right side
    213,020x = 20,858,016,269.76
  5. Step 5: Solve for x
    x = 20,858,016,269.76/213,020
  6. Step 6: Final answer
    x = 97,915.77

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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.