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Finding the Fourth Proportional to 268,657.02, 402,970.95 and 81,653.94

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Solution

The fourth proportional to 268,657.02, 402,970.95 and 81,653.94 is: 122,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,657.02 : 402,970.95 = 81,653.94 : x
  2. Step 2: Convert to fraction form
    268,657.02/402,970.95 = 81,653.94/x
  3. Step 3: Cross multiply
    268,657.02x = 402,970.95 × 81,653.94
  4. Step 4: Simplify right side
    268,657.02x = 32,904,164,357.35
  5. Step 5: Solve for x
    x = 32,904,164,357.35/268,657.02
  6. Step 6: Final answer
    x = 122,476.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.