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Finding the Fourth Proportional to 102,457.50, 141,392.46 and 57,745.50

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Solution

The fourth proportional to 102,457.50, 141,392.46 and 57,745.50 is: 79,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,457.50 : 141,392.46 = 57,745.50 : x
  2. Step 2: Convert to fraction form
    102,457.50/141,392.46 = 57,745.50/x
  3. Step 3: Cross multiply
    102,457.50x = 141,392.46 × 57,745.50
  4. Step 4: Simplify right side
    102,457.50x = 8,164,778,298.93
  5. Step 5: Solve for x
    x = 8,164,778,298.93/102,457.50
  6. Step 6: Final answer
    x = 79,689.42

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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.