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Finding the Fourth Proportional to 145,482.06, 200,735.14 and 85,041.02

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Solution

The fourth proportional to 145,482.06, 200,735.14 and 85,041.02 is: 117,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,482.06 : 200,735.14 = 85,041.02 : x
  2. Step 2: Convert to fraction form
    145,482.06/200,735.14 = 85,041.02/x
  3. Step 3: Cross multiply
    145,482.06x = 200,735.14 × 85,041.02
  4. Step 4: Simplify right side
    145,482.06x = 17,070,721,055.44
  5. Step 5: Solve for x
    x = 17,070,721,055.44/145,482.06
  6. Step 6: Final answer
    x = 117,339.01

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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.