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Finding the Fourth Proportional to 153,784.24, 212,222.28 and 86,716.24

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Solution

The fourth proportional to 153,784.24, 212,222.28 and 86,716.24 is: 119,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,784.24 : 212,222.28 = 86,716.24 : x
  2. Step 2: Convert to fraction form
    153,784.24/212,222.28 = 86,716.24/x
  3. Step 3: Cross multiply
    153,784.24x = 212,222.28 × 86,716.24
  4. Step 4: Simplify right side
    153,784.24x = 18,403,118,165.83
  5. Step 5: Solve for x
    x = 18,403,118,165.83/153,784.24
  6. Step 6: Final answer
    x = 119,668.43

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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.