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Finding the Fourth Proportional to 81,368.96, 121,894.53 and 56,064

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Solution

The fourth proportional to 81,368.96, 121,894.53 and 56,064 is: 83,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,368.96 : 121,894.53 = 56,064 : x
  2. Step 2: Convert to fraction form
    81,368.96/121,894.53 = 56,064/x
  3. Step 3: Cross multiply
    81,368.96x = 121,894.53 × 56,064
  4. Step 4: Simplify right side
    81,368.96x = 6,833,894,929.92
  5. Step 5: Solve for x
    x = 6,833,894,929.92/81,368.96
  6. Step 6: Final answer
    x = 83,986.51

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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.