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Finding the Fourth Proportional to 105,009.16, 144,916.14 and 57,265.12

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Solution

The fourth proportional to 105,009.16, 144,916.14 and 57,265.12 is: 79,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,009.16 : 144,916.14 = 57,265.12 : x
  2. Step 2: Convert to fraction form
    105,009.16/144,916.14 = 57,265.12/x
  3. Step 3: Cross multiply
    105,009.16x = 144,916.14 × 57,265.12
  4. Step 4: Simplify right side
    105,009.16x = 8,298,640,147.04
  5. Step 5: Solve for x
    x = 8,298,640,147.04/105,009.16
  6. Step 6: Final answer
    x = 79,027.77

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1.5x scale

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.