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Finding the Fourth Proportional to 150,980.65, 208,330.47 and 83,000.50

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Solution

The fourth proportional to 150,980.65, 208,330.47 and 83,000.50 is: 114,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,980.65 : 208,330.47 = 83,000.50 : x
  2. Step 2: Convert to fraction form
    150,980.65/208,330.47 = 83,000.50/x
  3. Step 3: Cross multiply
    150,980.65x = 208,330.47 × 83,000.50
  4. Step 4: Simplify right side
    150,980.65x = 17,291,533,175.24
  5. Step 5: Solve for x
    x = 17,291,533,175.24/150,980.65
  6. Step 6: Final answer
    x = 114,528.14

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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.