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Finding the Fourth Proportional to 78,370, 117,439.77 and 46,316.08

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Solution

The fourth proportional to 78,370, 117,439.77 and 46,316.08 is: 69,406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,370 : 117,439.77 = 46,316.08 : x
  2. Step 2: Convert to fraction form
    78,370/117,439.77 = 46,316.08/x
  3. Step 3: Cross multiply
    78,370x = 117,439.77 × 46,316.08
  4. Step 4: Simplify right side
    78,370x = 5,439,349,782.50
  5. Step 5: Solve for x
    x = 5,439,349,782.50/78,370
  6. Step 6: Final answer
    x = 69,406.02

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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.