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Finding the Fourth Proportional to 105,009.92, 144,916.68 and 57,264.16

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Solution

The fourth proportional to 105,009.92, 144,916.68 and 57,264.16 is: 79,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,009.92 : 144,916.68 = 57,264.16 : x
  2. Step 2: Convert to fraction form
    105,009.92/144,916.68 = 57,264.16/x
  3. Step 3: Cross multiply
    105,009.92x = 144,916.68 × 57,264.16
  4. Step 4: Simplify right side
    105,009.92x = 8,298,531,950.19
  5. Step 5: Solve for x
    x = 8,298,531,950.19/105,009.92
  6. Step 6: Final answer
    x = 79,026.17

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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.