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Finding the Fourth Proportional to 72,762.16, 100,402.80 and 45,894.52

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Solution

The fourth proportional to 72,762.16, 100,402.80 and 45,894.52 is: 63,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,762.16 : 100,402.80 = 45,894.52 : x
  2. Step 2: Convert to fraction form
    72,762.16/100,402.80 = 45,894.52/x
  3. Step 3: Cross multiply
    72,762.16x = 100,402.80 × 45,894.52
  4. Step 4: Simplify right side
    72,762.16x = 4,607,938,312.66
  5. Step 5: Solve for x
    x = 4,607,938,312.66/72,762.16
  6. Step 6: Final answer
    x = 63,328.77

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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.