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Finding the Fourth Proportional to 151,038.80, 208,434.32 and 83,060.16

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Solution

The fourth proportional to 151,038.80, 208,434.32 and 83,060.16 is: 114,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,038.80 : 208,434.32 = 83,060.16 : x
  2. Step 2: Convert to fraction form
    151,038.80/208,434.32 = 83,060.16/x
  3. Step 3: Cross multiply
    151,038.80x = 208,434.32 × 83,060.16
  4. Step 4: Simplify right side
    151,038.80x = 17,312,587,968.69
  5. Step 5: Solve for x
    x = 17,312,587,968.69/151,038.80
  6. Step 6: Final answer
    x = 114,623.45

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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.