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Finding the Fourth Proportional to 71,307.69, 106,955.12 and 21,398.93

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Solution

The fourth proportional to 71,307.69, 106,955.12 and 21,398.93 is: 32,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,307.69 : 106,955.12 = 21,398.93 : x
  2. Step 2: Convert to fraction form
    71,307.69/106,955.12 = 21,398.93/x
  3. Step 3: Cross multiply
    71,307.69x = 106,955.12 × 21,398.93
  4. Step 4: Simplify right side
    71,307.69x = 2,288,724,484.25
  5. Step 5: Solve for x
    x = 2,288,724,484.25/71,307.69
  6. Step 6: Final answer
    x = 32,096.46

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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.