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Finding the Fourth Proportional to 145,848, 201,270.32 and 78,780

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Solution

The fourth proportional to 145,848, 201,270.32 and 78,780 is: 108,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,848 : 201,270.32 = 78,780 : x
  2. Step 2: Convert to fraction form
    145,848/201,270.32 = 78,780/x
  3. Step 3: Cross multiply
    145,848x = 201,270.32 × 78,780
  4. Step 4: Simplify right side
    145,848x = 15,856,075,809.60
  5. Step 5: Solve for x
    x = 15,856,075,809.60/145,848
  6. Step 6: Final answer
    x = 108,716.44

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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.