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Finding the Fourth Proportional to 459,059.71, 688,534.71 and 122,125

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Solution

The fourth proportional to 459,059.71, 688,534.71 and 122,125 is: 183,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,059.71 : 688,534.71 = 122,125 : x
  2. Step 2: Convert to fraction form
    459,059.71/688,534.71 = 122,125/x
  3. Step 3: Cross multiply
    459,059.71x = 688,534.71 × 122,125
  4. Step 4: Simplify right side
    459,059.71x = 84,087,301,458.75
  5. Step 5: Solve for x
    x = 84,087,301,458.75/459,059.71
  6. Step 6: Final answer
    x = 183,172.91

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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.