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Finding the Fourth Proportional to 176,064, 242,968.72 and 100,612.32

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Solution

The fourth proportional to 176,064, 242,968.72 and 100,612.32 is: 138,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,064 : 242,968.72 = 100,612.32 : x
  2. Step 2: Convert to fraction form
    176,064/242,968.72 = 100,612.32/x
  3. Step 3: Cross multiply
    176,064x = 242,968.72 × 100,612.32
  4. Step 4: Simplify right side
    176,064x = 24,445,646,606.63
  5. Step 5: Solve for x
    x = 24,445,646,606.63/176,064
  6. Step 6: Final answer
    x = 138,845.23

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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.