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Finding the Fourth Proportional to 72,802.81, 100,460.10 and 40,971.16

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Solution

The fourth proportional to 72,802.81, 100,460.10 and 40,971.16 is: 56,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,802.81 : 100,460.10 = 40,971.16 : x
  2. Step 2: Convert to fraction form
    72,802.81/100,460.10 = 40,971.16/x
  3. Step 3: Cross multiply
    72,802.81x = 100,460.10 × 40,971.16
  4. Step 4: Simplify right side
    72,802.81x = 4,115,966,830.72
  5. Step 5: Solve for x
    x = 4,115,966,830.72/72,802.81
  6. Step 6: Final answer
    x = 56,535.82

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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.