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Finding the Fourth Proportional to 105,760, 145,946.13 and 60,435.10

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Solution

The fourth proportional to 105,760, 145,946.13 and 60,435.10 is: 83,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,760 : 145,946.13 = 60,435.10 : x
  2. Step 2: Convert to fraction form
    105,760/145,946.13 = 60,435.10/x
  3. Step 3: Cross multiply
    105,760x = 145,946.13 × 60,435.10
  4. Step 4: Simplify right side
    105,760x = 8,820,268,961.16
  5. Step 5: Solve for x
    x = 8,820,268,961.16/105,760
  6. Step 6: Final answer
    x = 83,398.91

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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.