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Finding the Fourth Proportional to 155,256, 214,287.84 and 98,656.32

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Solution

The fourth proportional to 155,256, 214,287.84 and 98,656.32 is: 136,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,256 : 214,287.84 = 98,656.32 : x
  2. Step 2: Convert to fraction form
    155,256/214,287.84 = 98,656.32/x
  3. Step 3: Cross multiply
    155,256x = 214,287.84 × 98,656.32
  4. Step 4: Simplify right side
    155,256x = 21,140,849,715.15
  5. Step 5: Solve for x
    x = 21,140,849,715.15/155,256
  6. Step 6: Final answer
    x = 136,167.68

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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.