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Finding the Fourth Proportional to 74,230, 102,437.40 and 40,696

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Solution

The fourth proportional to 74,230, 102,437.40 and 40,696 is: 56,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,230 : 102,437.40 = 40,696 : x
  2. Step 2: Convert to fraction form
    74,230/102,437.40 = 40,696/x
  3. Step 3: Cross multiply
    74,230x = 102,437.40 × 40,696
  4. Step 4: Simplify right side
    74,230x = 4,168,792,430.40
  5. Step 5: Solve for x
    x = 4,168,792,430.40/74,230
  6. Step 6: Final answer
    x = 56,160.48

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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.