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Finding the Fourth Proportional to 145,246.40, 200,433.84 and 84,820.40

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Solution

The fourth proportional to 145,246.40, 200,433.84 and 84,820.40 is: 117,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,246.40 : 200,433.84 = 84,820.40 : x
  2. Step 2: Convert to fraction form
    145,246.40/200,433.84 = 84,820.40/x
  3. Step 3: Cross multiply
    145,246.40x = 200,433.84 × 84,820.40
  4. Step 4: Simplify right side
    145,246.40x = 17,000,878,482.34
  5. Step 5: Solve for x
    x = 17,000,878,482.34/145,246.40
  6. Step 6: Final answer
    x = 117,048.54

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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.