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Finding the Fourth Proportional to 201,116.76, 301,802.19 and 112,428.45

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Solution

The fourth proportional to 201,116.76, 301,802.19 and 112,428.45 is: 168,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,116.76 : 301,802.19 = 112,428.45 : x
  2. Step 2: Convert to fraction form
    201,116.76/301,802.19 = 112,428.45/x
  3. Step 3: Cross multiply
    201,116.76x = 301,802.19 × 112,428.45
  4. Step 4: Simplify right side
    201,116.76x = 33,931,152,428.31
  5. Step 5: Solve for x
    x = 33,931,152,428.31/201,116.76
  6. Step 6: Final answer
    x = 168,713.70

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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.