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Finding the Fourth Proportional to 310,106.42, 465,071.07 and 85,410.26

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Solution

The fourth proportional to 310,106.42, 465,071.07 and 85,410.26 is: 128,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,106.42 : 465,071.07 = 85,410.26 : x
  2. Step 2: Convert to fraction form
    310,106.42/465,071.07 = 85,410.26/x
  3. Step 3: Cross multiply
    310,106.42x = 465,071.07 × 85,410.26
  4. Step 4: Simplify right side
    310,106.42x = 39,721,841,007.18
  5. Step 5: Solve for x
    x = 39,721,841,007.18/310,106.42
  6. Step 6: Final answer
    x = 128,091.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.