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Finding the Fourth Proportional to 145,814, 201,223.36 and 78,746

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Solution

The fourth proportional to 145,814, 201,223.36 and 78,746 is: 108,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,814 : 201,223.36 = 78,746 : x
  2. Step 2: Convert to fraction form
    145,814/201,223.36 = 78,746/x
  3. Step 3: Cross multiply
    145,814x = 201,223.36 × 78,746
  4. Step 4: Simplify right side
    145,814x = 15,845,534,706.56
  5. Step 5: Solve for x
    x = 15,845,534,706.56/145,814
  6. Step 6: Final answer
    x = 108,669.50

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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.