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Finding the Fourth Proportional to 114,398.24, 157,816.16 and 71,980.16

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Solution

The fourth proportional to 114,398.24, 157,816.16 and 71,980.16 is: 99,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,398.24 : 157,816.16 = 71,980.16 : x
  2. Step 2: Convert to fraction form
    114,398.24/157,816.16 = 71,980.16/x
  3. Step 3: Cross multiply
    114,398.24x = 157,816.16 × 71,980.16
  4. Step 4: Simplify right side
    114,398.24x = 11,359,631,298.40
  5. Step 5: Solve for x
    x = 11,359,631,298.40/114,398.24
  6. Step 6: Final answer
    x = 99,299.01

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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.