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Finding the Fourth Proportional to 144,870.78, 217,368.60 and 78,357.74

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Solution

The fourth proportional to 144,870.78, 217,368.60 and 78,357.74 is: 117,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,870.78 : 217,368.60 = 78,357.74 : x
  2. Step 2: Convert to fraction form
    144,870.78/217,368.60 = 78,357.74/x
  3. Step 3: Cross multiply
    144,870.78x = 217,368.60 × 78,357.74
  4. Step 4: Simplify right side
    144,870.78x = 17,032,512,242.96
  5. Step 5: Solve for x
    x = 17,032,512,242.96/144,870.78
  6. Step 6: Final answer
    x = 117,570.38

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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.