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Finding the Fourth Proportional to 102,510.06, 141,463.75 and 57,798.06

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Solution

The fourth proportional to 102,510.06, 141,463.75 and 57,798.06 is: 79,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510.06 : 141,463.75 = 57,798.06 : x
  2. Step 2: Convert to fraction form
    102,510.06/141,463.75 = 57,798.06/x
  3. Step 3: Cross multiply
    102,510.06x = 141,463.75 × 57,798.06
  4. Step 4: Simplify right side
    102,510.06x = 8,176,330,310.33
  5. Step 5: Solve for x
    x = 8,176,330,310.33/102,510.06
  6. Step 6: Final answer
    x = 79,761.25

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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.