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Finding the Fourth Proportional to 186,538.40, 279,807.60 and 102,557.60

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Solution

The fourth proportional to 186,538.40, 279,807.60 and 102,557.60 is: 153,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,538.40 : 279,807.60 = 102,557.60 : x
  2. Step 2: Convert to fraction form
    186,538.40/279,807.60 = 102,557.60/x
  3. Step 3: Cross multiply
    186,538.40x = 279,807.60 × 102,557.60
  4. Step 4: Simplify right side
    186,538.40x = 28,696,395,917.76
  5. Step 5: Solve for x
    x = 28,696,395,917.76/186,538.40
  6. Step 6: Final answer
    x = 153,836.40

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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.