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Finding the Fourth Proportional to 53,386, 73,679.16 and 31,030

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Solution

The fourth proportional to 53,386, 73,679.16 and 31,030 is: 42,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,386 : 73,679.16 = 31,030 : x
  2. Step 2: Convert to fraction form
    53,386/73,679.16 = 31,030/x
  3. Step 3: Cross multiply
    53,386x = 73,679.16 × 31,030
  4. Step 4: Simplify right side
    53,386x = 2,286,264,334.80
  5. Step 5: Solve for x
    x = 2,286,264,334.80/53,386
  6. Step 6: Final answer
    x = 42,825.17

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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.