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Finding the Fourth Proportional to 53,859, 74,331.18 and 31,521.72

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Solution

The fourth proportional to 53,859, 74,331.18 and 31,521.72 is: 43,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,859 : 74,331.18 = 31,521.72 : x
  2. Step 2: Convert to fraction form
    53,859/74,331.18 = 31,521.72/x
  3. Step 3: Cross multiply
    53,859x = 74,331.18 × 31,521.72
  4. Step 4: Simplify right side
    53,859x = 2,343,046,643.23
  5. Step 5: Solve for x
    x = 2,343,046,643.23/53,859
  6. Step 6: Final answer
    x = 43,503.34

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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.