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Finding the Fourth Proportional to 77,802.29, 107,368.54 and 45,971.11

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Solution

The fourth proportional to 77,802.29, 107,368.54 and 45,971.11 is: 63,440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802.29 : 107,368.54 = 45,971.11 : x
  2. Step 2: Convert to fraction form
    77,802.29/107,368.54 = 45,971.11/x
  3. Step 3: Cross multiply
    77,802.29x = 107,368.54 × 45,971.11
  4. Step 4: Simplify right side
    77,802.29x = 4,935,850,982.16
  5. Step 5: Solve for x
    x = 4,935,850,982.16/77,802.29
  6. Step 6: Final answer
    x = 63,440.95

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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.