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Finding the Fourth Proportional to 105,078, 157,533.40 and 52,458.96

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Solution

The fourth proportional to 105,078, 157,533.40 and 52,458.96 is: 78,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,078 : 157,533.40 = 52,458.96 : x
  2. Step 2: Convert to fraction form
    105,078/157,533.40 = 52,458.96/x
  3. Step 3: Cross multiply
    105,078x = 157,533.40 × 52,458.96
  4. Step 4: Simplify right side
    105,078x = 8,264,038,329.26
  5. Step 5: Solve for x
    x = 8,264,038,329.26/105,078
  6. Step 6: Final answer
    x = 78,646.70

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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.