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Finding the Fourth Proportional to 157,184.64, 216,924.48 and 90,138.24

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Solution

The fourth proportional to 157,184.64, 216,924.48 and 90,138.24 is: 124,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,184.64 : 216,924.48 = 90,138.24 : x
  2. Step 2: Convert to fraction form
    157,184.64/216,924.48 = 90,138.24/x
  3. Step 3: Cross multiply
    157,184.64x = 216,924.48 × 90,138.24
  4. Step 4: Simplify right side
    157,184.64x = 19,553,190,840.12
  5. Step 5: Solve for x
    x = 19,553,190,840.12/157,184.64
  6. Step 6: Final answer
    x = 124,396.32

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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.