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Finding the Fourth Proportional to 77,153.40, 106,457.16 and 45,310.68

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Solution

The fourth proportional to 77,153.40, 106,457.16 and 45,310.68 is: 62,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,153.40 : 106,457.16 = 45,310.68 : x
  2. Step 2: Convert to fraction form
    77,153.40/106,457.16 = 45,310.68/x
  3. Step 3: Cross multiply
    77,153.40x = 106,457.16 × 45,310.68
  4. Step 4: Simplify right side
    77,153.40x = 4,823,646,310.47
  5. Step 5: Solve for x
    x = 4,823,646,310.47/77,153.40
  6. Step 6: Final answer
    x = 62,520.20

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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.