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Finding the Fourth Proportional to 151,089, 208,507.40 and 83,102.48

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Solution

The fourth proportional to 151,089, 208,507.40 and 83,102.48 is: 114,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,089 : 208,507.40 = 83,102.48 : x
  2. Step 2: Convert to fraction form
    151,089/208,507.40 = 83,102.48/x
  3. Step 3: Cross multiply
    151,089x = 208,507.40 × 83,102.48
  4. Step 4: Simplify right side
    151,089x = 17,327,482,038.35
  5. Step 5: Solve for x
    x = 17,327,482,038.35/151,089
  6. Step 6: Final answer
    x = 114,683.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.