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Finding the Fourth Proportional to 124,580.64, 186,870 and 31,085.76

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Solution

The fourth proportional to 124,580.64, 186,870 and 31,085.76 is: 46,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,580.64 : 186,870 = 31,085.76 : x
  2. Step 2: Convert to fraction form
    124,580.64/186,870 = 31,085.76/x
  3. Step 3: Cross multiply
    124,580.64x = 186,870 × 31,085.76
  4. Step 4: Simplify right side
    124,580.64x = 5,808,995,971.20
  5. Step 5: Solve for x
    x = 5,808,995,971.20/124,580.64
  6. Step 6: Final answer
    x = 46,628.40

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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.