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Finding the Fourth Proportional to 72,356.77, 99,808.77 and 47,827.72

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Solution

The fourth proportional to 72,356.77, 99,808.77 and 47,827.72 is: 65,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,356.77 : 99,808.77 = 47,827.72 : x
  2. Step 2: Convert to fraction form
    72,356.77/99,808.77 = 47,827.72/x
  3. Step 3: Cross multiply
    72,356.77x = 99,808.77 × 47,827.72
  4. Step 4: Simplify right side
    72,356.77x = 4,773,625,905.10
  5. Step 5: Solve for x
    x = 4,773,625,905.10/72,356.77
  6. Step 6: Final answer
    x = 65,973.45

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1.5x scale

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.