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Finding the Fourth Proportional to 70,354.95, 97,095 and 40,140.93

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Solution

The fourth proportional to 70,354.95, 97,095 and 40,140.93 is: 55,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,354.95 : 97,095 = 40,140.93 : x
  2. Step 2: Convert to fraction form
    70,354.95/97,095 = 40,140.93/x
  3. Step 3: Cross multiply
    70,354.95x = 97,095 × 40,140.93
  4. Step 4: Simplify right side
    70,354.95x = 3,897,483,598.35
  5. Step 5: Solve for x
    x = 3,897,483,598.35/70,354.95
  6. Step 6: Final answer
    x = 55,397.43

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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.