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Finding the Fourth Proportional to 84,792.72, 117,008.10 and 47,064

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Solution

The fourth proportional to 84,792.72, 117,008.10 and 47,064 is: 64,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,792.72 : 117,008.10 = 47,064 : x
  2. Step 2: Convert to fraction form
    84,792.72/117,008.10 = 47,064/x
  3. Step 3: Cross multiply
    84,792.72x = 117,008.10 × 47,064
  4. Step 4: Simplify right side
    84,792.72x = 5,506,869,218.40
  5. Step 5: Solve for x
    x = 5,506,869,218.40/84,792.72
  6. Step 6: Final answer
    x = 64,945.07

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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.