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Finding the Fourth Proportional to 121,457.86, 167,612.10 and 67,746.32

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Solution

The fourth proportional to 121,457.86, 167,612.10 and 67,746.32 is: 93,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,457.86 : 167,612.10 = 67,746.32 : x
  2. Step 2: Convert to fraction form
    121,457.86/167,612.10 = 67,746.32/x
  3. Step 3: Cross multiply
    121,457.86x = 167,612.10 × 67,746.32
  4. Step 4: Simplify right side
    121,457.86x = 11,355,102,962.47
  5. Step 5: Solve for x
    x = 11,355,102,962.47/121,457.86
  6. Step 6: Final answer
    x = 93,490.07

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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.