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Finding the Fourth Proportional to 105,053.40, 144,974.40 and 57,307.08

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Solution

The fourth proportional to 105,053.40, 144,974.40 and 57,307.08 is: 79,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,053.40 : 144,974.40 = 57,307.08 : x
  2. Step 2: Convert to fraction form
    105,053.40/144,974.40 = 57,307.08/x
  3. Step 3: Cross multiply
    105,053.40x = 144,974.40 × 57,307.08
  4. Step 4: Simplify right side
    105,053.40x = 8,308,059,538.75
  5. Step 5: Solve for x
    x = 8,308,059,538.75/105,053.40
  6. Step 6: Final answer
    x = 79,084.16

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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.