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Finding the Fourth Proportional to 153,809.24, 212,256.78 and 86,741.24

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Solution

The fourth proportional to 153,809.24, 212,256.78 and 86,741.24 is: 119,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,809.24 : 212,256.78 = 86,741.24 : x
  2. Step 2: Convert to fraction form
    153,809.24/212,256.78 = 86,741.24/x
  3. Step 3: Cross multiply
    153,809.24x = 212,256.78 × 86,741.24
  4. Step 4: Simplify right side
    153,809.24x = 18,411,416,295.61
  5. Step 5: Solve for x
    x = 18,411,416,295.61/153,809.24
  6. Step 6: Final answer
    x = 119,702.93

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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.