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Finding the Fourth Proportional to 145,767.76, 201,090.78 and 85,301.32

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Solution

The fourth proportional to 145,767.76, 201,090.78 and 85,301.32 is: 117,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,767.76 : 201,090.78 = 85,301.32 : x
  2. Step 2: Convert to fraction form
    145,767.76/201,090.78 = 85,301.32/x
  3. Step 3: Cross multiply
    145,767.76x = 201,090.78 × 85,301.32
  4. Step 4: Simplify right side
    145,767.76x = 17,153,308,973.83
  5. Step 5: Solve for x
    x = 17,153,308,973.83/145,767.76
  6. Step 6: Final answer
    x = 117,675.60

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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.