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Finding the Fourth Proportional to 145,970.84, 201,437.08 and 82,308.69

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Solution

The fourth proportional to 145,970.84, 201,437.08 and 82,308.69 is: 113,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,970.84 : 201,437.08 = 82,308.69 : x
  2. Step 2: Convert to fraction form
    145,970.84/201,437.08 = 82,308.69/x
  3. Step 3: Cross multiply
    145,970.84x = 201,437.08 × 82,308.69
  4. Step 4: Simplify right side
    145,970.84x = 16,580,021,966.45
  5. Step 5: Solve for x
    x = 16,580,021,966.45/145,970.84
  6. Step 6: Final answer
    x = 113,584.48

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1.5x scale

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.