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Finding the Fourth Proportional to 53,865.34, 74,347.25 and 31,200.66

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Solution

The fourth proportional to 53,865.34, 74,347.25 and 31,200.66 is: 43,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,865.34 : 74,347.25 = 31,200.66 : x
  2. Step 2: Convert to fraction form
    53,865.34/74,347.25 = 31,200.66/x
  3. Step 3: Cross multiply
    53,865.34x = 74,347.25 × 31,200.66
  4. Step 4: Simplify right side
    53,865.34x = 2,319,683,113.18
  5. Step 5: Solve for x
    x = 2,319,683,113.18/53,865.34
  6. Step 6: Final answer
    x = 43,064.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.