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Finding the Fourth Proportional to 145,019.84, 200,164.16 and 99,098.07

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Solution

The fourth proportional to 145,019.84, 200,164.16 and 99,098.07 is: 136,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,019.84 : 200,164.16 = 99,098.07 : x
  2. Step 2: Convert to fraction form
    145,019.84/200,164.16 = 99,098.07/x
  3. Step 3: Cross multiply
    145,019.84x = 200,164.16 × 99,098.07
  4. Step 4: Simplify right side
    145,019.84x = 19,835,881,273.32
  5. Step 5: Solve for x
    x = 19,835,881,273.32/145,019.84
  6. Step 6: Final answer
    x = 136,780.47

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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.