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Finding the Fourth Proportional to 145,838.00, 201,256.45 and 78,770.00

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Solution

The fourth proportional to 145,838.00, 201,256.45 and 78,770.00 is: 108,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838.00 : 201,256.45 = 78,770.00 : x
  2. Step 2: Convert to fraction form
    145,838.00/201,256.45 = 78,770.00/x
  3. Step 3: Cross multiply
    145,838.00x = 201,256.45 × 78,770.00
  4. Step 4: Simplify right side
    145,838.00x = 15,852,970,872.72
  5. Step 5: Solve for x
    x = 15,852,970,872.72/145,838.00
  6. Step 6: Final answer
    x = 108,702.61

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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.