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Finding the Fourth Proportional to 102,643.79, 141,647.01 and 59,647.57

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Solution

The fourth proportional to 102,643.79, 141,647.01 and 59,647.57 is: 82,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,643.79 : 141,647.01 = 59,647.57 : x
  2. Step 2: Convert to fraction form
    102,643.79/141,647.01 = 59,647.57/x
  3. Step 3: Cross multiply
    102,643.79x = 141,647.01 × 59,647.57
  4. Step 4: Simplify right side
    102,643.79x = 8,448,900,163.23
  5. Step 5: Solve for x
    x = 8,448,900,163.23/102,643.79
  6. Step 6: Final answer
    x = 82,312.82

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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.