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Finding the Fourth Proportional to 157,090, 235,681.40 and 90,577.84

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Solution

The fourth proportional to 157,090, 235,681.40 and 90,577.84 is: 135,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,090 : 235,681.40 = 90,577.84 : x
  2. Step 2: Convert to fraction form
    157,090/235,681.40 = 90,577.84/x
  3. Step 3: Cross multiply
    157,090x = 235,681.40 × 90,577.84
  4. Step 4: Simplify right side
    157,090x = 21,347,512,140.18
  5. Step 5: Solve for x
    x = 21,347,512,140.18/157,090
  6. Step 6: Final answer
    x = 135,893.51

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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.