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Finding the Fourth Proportional to 105,117.40, 157,368.90 and 102,045.40

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Solution

The fourth proportional to 105,117.40, 157,368.90 and 102,045.40 is: 152,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,117.40 : 157,368.90 = 102,045.40 : x
  2. Step 2: Convert to fraction form
    105,117.40/157,368.90 = 102,045.40/x
  3. Step 3: Cross multiply
    105,117.40x = 157,368.90 × 102,045.40
  4. Step 4: Simplify right side
    105,117.40x = 16,058,772,348.06
  5. Step 5: Solve for x
    x = 16,058,772,348.06/105,117.40
  6. Step 6: Final answer
    x = 152,769.88

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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.