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Finding the Fourth Proportional to 78,677.94, 118,038.81 and 34,308.60

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Solution

The fourth proportional to 78,677.94, 118,038.81 and 34,308.60 is: 51,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,677.94 : 118,038.81 = 34,308.60 : x
  2. Step 2: Convert to fraction form
    78,677.94/118,038.81 = 34,308.60/x
  3. Step 3: Cross multiply
    78,677.94x = 118,038.81 × 34,308.60
  4. Step 4: Simplify right side
    78,677.94x = 4,049,746,316.77
  5. Step 5: Solve for x
    x = 4,049,746,316.77/78,677.94
  6. Step 6: Final answer
    x = 51,472.45

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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.