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Finding the Fourth Proportional to 166,830.10, 249,917.10 and 155,020.30

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Solution

The fourth proportional to 166,830.10, 249,917.10 and 155,020.30 is: 232,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,830.10 : 249,917.10 = 155,020.30 : x
  2. Step 2: Convert to fraction form
    166,830.10/249,917.10 = 155,020.30/x
  3. Step 3: Cross multiply
    166,830.10x = 249,917.10 × 155,020.30
  4. Step 4: Simplify right side
    166,830.10x = 38,742,223,817.13
  5. Step 5: Solve for x
    x = 38,742,223,817.13/166,830.10
  6. Step 6: Final answer
    x = 232,225.62

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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.