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Finding the Fourth Proportional to 208,058.66, 312,014.18 and 74,903.17

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Solution

The fourth proportional to 208,058.66, 312,014.18 and 74,903.17 is: 112,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,058.66 : 312,014.18 = 74,903.17 : x
  2. Step 2: Convert to fraction form
    208,058.66/312,014.18 = 74,903.17/x
  3. Step 3: Cross multiply
    208,058.66x = 312,014.18 × 74,903.17
  4. Step 4: Simplify right side
    208,058.66x = 23,370,851,166.95
  5. Step 5: Solve for x
    x = 23,370,851,166.95/208,058.66
  6. Step 6: Final answer
    x = 112,328.18

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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.