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Finding the Fourth Proportional to 114,307.96, 157,705.50 and 71,869.72

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Solution

The fourth proportional to 114,307.96, 157,705.50 and 71,869.72 is: 99,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,307.96 : 157,705.50 = 71,869.72 : x
  2. Step 2: Convert to fraction form
    114,307.96/157,705.50 = 71,869.72/x
  3. Step 3: Cross multiply
    114,307.96x = 157,705.50 × 71,869.72
  4. Step 4: Simplify right side
    114,307.96x = 11,334,250,127.46
  5. Step 5: Solve for x
    x = 11,334,250,127.46/114,307.96
  6. Step 6: Final answer
    x = 99,155.39

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1.5x scale

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.