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Finding the Fourth Proportional to 114,426, 157,914.36 and 64,128.24

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Solution

The fourth proportional to 114,426, 157,914.36 and 64,128.24 is: 88,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,426 : 157,914.36 = 64,128.24 : x
  2. Step 2: Convert to fraction form
    114,426/157,914.36 = 64,128.24/x
  3. Step 3: Cross multiply
    114,426x = 157,914.36 × 64,128.24
  4. Step 4: Simplify right side
    114,426x = 10,126,769,977.53
  5. Step 5: Solve for x
    x = 10,126,769,977.53/114,426
  6. Step 6: Final answer
    x = 88,500.60

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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.