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Finding the Fourth Proportional to 114,420, 157,899.60 and 64,135.20

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Solution

The fourth proportional to 114,420, 157,899.60 and 64,135.20 is: 88,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,420 : 157,899.60 = 64,135.20 : x
  2. Step 2: Convert to fraction form
    114,420/157,899.60 = 64,135.20/x
  3. Step 3: Cross multiply
    114,420x = 157,899.60 × 64,135.20
  4. Step 4: Simplify right side
    114,420x = 10,126,922,425.92
  5. Step 5: Solve for x
    x = 10,126,922,425.92/114,420
  6. Step 6: Final answer
    x = 88,506.58

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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.