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Finding the Fourth Proportional to 100,307.74, 138,428.93 and 57,294.31

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Solution

The fourth proportional to 100,307.74, 138,428.93 and 57,294.31 is: 79,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,307.74 : 138,428.93 = 57,294.31 : x
  2. Step 2: Convert to fraction form
    100,307.74/138,428.93 = 57,294.31/x
  3. Step 3: Cross multiply
    100,307.74x = 138,428.93 × 57,294.31
  4. Step 4: Simplify right side
    100,307.74x = 7,931,190,028.39
  5. Step 5: Solve for x
    x = 7,931,190,028.39/100,307.74
  6. Step 6: Final answer
    x = 79,068.57

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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.