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Finding the Fourth Proportional to 186,315.68, 257,071.92 and 105,724.96

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Solution

The fourth proportional to 186,315.68, 257,071.92 and 105,724.96 is: 145,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,315.68 : 257,071.92 = 105,724.96 : x
  2. Step 2: Convert to fraction form
    186,315.68/257,071.92 = 105,724.96/x
  3. Step 3: Cross multiply
    186,315.68x = 257,071.92 × 105,724.96
  4. Step 4: Simplify right side
    186,315.68x = 27,178,918,459.12
  5. Step 5: Solve for x
    x = 27,178,918,459.12/186,315.68
  6. Step 6: Final answer
    x = 145,875.64

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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.